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Finding the Fourth Proportional to 812.75, 1,121.10 and 513.46

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Solution

The fourth proportional to 812.75, 1,121.10 and 513.46 is: 708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.75 : 1,121.10 = 513.46 : x
  2. Step 2: Convert to fraction form
    812.75/1,121.10 = 513.46/x
  3. Step 3: Cross multiply
    812.75x = 1,121.10 × 513.46
  4. Step 4: Simplify right side
    812.75x = 575,640.01
  5. Step 5: Solve for x
    x = 575,640.01/812.75
  6. Step 6: Final answer
    x = 708.26

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.